3667840 has 64 divisors (see below), whose sum is σ = 9583920. Its totient is φ = 1331200.

The previous prime is 3667837. The next prime is 3667841. The reversal of 3667840 is 487663.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3667796 and 3667805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6780 + ... + 7300.

Almost surely, 2^3667840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791960).

3667840 is an abundant number, since it is smaller than the sum of its proper divisors (5916080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3667840 is a wasteful number, since it uses less digits than its factorization.

3667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3667840 is about 1915.1605676809. The cubic root of 3667840 is about 154.2186134497.

It can be divided in two parts, 36 and 67840, that added together give a palindrome (67876).

The spelling of 3667840 in words is "three million, six hundred sixty-seven thousand, eight hundred forty".